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Finding the Fourth Proportional to 108,110,206,891.60, 162,165,310,337.40 and 108,110,206,891.60

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Solution

The fourth proportional to 108,110,206,891.60, 162,165,310,337.40 and 108,110,206,891.60 is: 162,165,310,337.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,110,206,891.60 : 162,165,310,337.40 = 108,110,206,891.60 : x
  2. Step 2: Convert to fraction form
    108,110,206,891.60/162,165,310,337.40 = 108,110,206,891.60/x
  3. Step 3: Cross multiply
    108,110,206,891.60x = 162,165,310,337.40 × 108,110,206,891.60
  4. Step 4: Simplify right side
    108,110,206,891.60x = 17,531,725,251,216,834,297,856
  5. Step 5: Solve for x
    x = 17,531,725,251,216,834,297,856/108,110,206,891.60
  6. Step 6: Final answer
    x = 162,165,310,337.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.